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Simplifying 0 = 5x(5x + -6) Reorder the terms: 0 = 5x(-6 + 5x) 0 = (-6 * 5x + 5x * 5x) 0 = (-30x + 25x2) Solving 0 = -30x + 25x2 Solving for variable 'x'. Remove the zero: 30x + -25x2 = -30x + 25x2 + 30x + -25x2 Reorder the terms: 30x + -25x2 = -30x + 30x + 25x2 + -25x2 Combine like terms: -30x + 30x = 0 30x + -25x2 = 0 + 25x2 + -25x2 30x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 30x + -25x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(6 + -5x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {0, 1.2}
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